MATH BRAIN TEASERS

Fun Facts (Hints)

Mathematics has an extensive history in just about every culture or civilized society known to man. Listed below are some cool facts to get those math juices flowing:
  • In 1852 mathematician JJ Sylvester established the "theory of algebraic invariants."
  • In 1995 math great Andrew Wiles, proved "Fermat's Last Theorem."
  • The first decimal number system is said to have been invented in Ancient Egypt around 5000BC.
  • The Ancient Mayan civilization located in Central America is one of the only cultures in the recorded history of the world to use a place-value number system.
  • The American Mathematical Society was formed in the late months of 1888 in New York.
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    Riddles and Answers © 2019

    The Greater Dozen Riddle

    Hint:
    Six Dozen Dozen
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    A Rickety Bridge Riddle

    Hint:
    17 mins.

    The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.

    Let's brainstorm a little further. To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.

    1 and 2 go cross
    2 comes back
    7 and 10 go across
    1 comes back
    1 and 2 go across (done)

    Total time = 2 + 2 + 10 + 1 + 2 = 17 mins
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    Seventeen Apples Riddle

    Hint:
    Make applesauce
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    10 Boxes Riddle

    Hint:
    Let us simplify boxes by naming them from 1 to 10.
    Now the trick here is to pick different number of balls from different boxes. So to simplify things, we will pick balls corresponding to box number.

    Thus, pick 1 ball from Box 1, 2 balls from box 2, 3 balls from box 3 and so on. You will have 55 balls altogether. Now, put them all in the balance.

    If all balls were weighing accurate 10 grams, the total weight of the 55 balls would have been 550 grams. But one of the box must have had the defective balls.

    Suppose if the defective balls were in box number 2, then the total weight will be 2 grams less than 550. If the defective balls were in box 8, the total weight will be less than 8 grams from 550. In this way, you will be able to identify which box has the defective balls.
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    Eating Burgers Riddle

    Hint:
    18

    More hours => more burgers.
    More boys => more burgers.

    The time become twice (3 hours / 1.5 hours).
    Boys become six times (9 / 1.5).

    Number of burgers = 2 * 6 * Original(1.5)
    = 18
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    Bigger Upside Down Riddle

    Hint:
    A 6!
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    Adding Eights Riddle

    Hint:
    888 + 88 + 8 + 8 + 8 = 1000.
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    Green And Red Apple Trees Riddle

    Hint:
    The total was 40 Red apples and 32 Green apples.
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    Saving Money Riddle

    Hint:
    They would have saved $$4,095.
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    Guilders Expense Riddle

    Hint:
    Ten guilders. An artist cost 7 guilders, and a stonemason cost 3 guilders.
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